Generalized Hooke's Law
Derivation of Multi-axial Loading Formulas
In the derivation of the following formulas, we apply the concept of superposition, that is, adding the individual effects of deformations caused by loads acting on specific directions. We utilize here Poisson's Ratio $ \nu =-\dfrac{\varepsilon_{\text{lateral}}}{\varepsilon_{\text{longitudinal}}}$ where longitudinal strain is developed along the direction of the applied stress.
Shear Strain and Deformation
